Yuval Gefen, B.B. Mandelbrot, et al.
Journal of Statistical Physics
Finitely ramified fractal lattices show anomalous diffusion with (r 2) varies as t2H. There is a hierarchy of transit times which are shown by Monte Carlo simulation to satisfy ( tau n) varies as alpha n for large n, where alpha =b1H/ and b is the base of the lattice. The lattice resistivity scales with size as rho varies as Rn where R is characteristic of the lattice. Exact renormalisation group methods yield alpha and R analytically and verify the Einstein relation for fractals alpha =RN.
Yuval Gefen, B.B. Mandelbrot, et al.
Journal of Statistical Physics
B.B. Mandelbrot, H. Kaufman, et al.
EPL
B.B. Mandelbrot
International Symposium on Turbulence and Chaotic Phenomena in Fluids 1983
Jean Voldman, B.B. Mandelbrot, et al.
CMG Transactions